125607023361 has 48 divisors (see below), whose sum is σ = 196551463680. Its totient is φ = 77000501760.

The previous prime is 125607023351. The next prime is 125607023387. The reversal of 125607023361 is 163320706521.

125607023361 is a `hidden beast` number, since 1 + 2 + 560 + 7 + 0 + 2 + 33 + 61 = 666.

It is not a de Polignac number, because 125607023361 - 2⁵ = 125607023329 is a prime.

It is a super-2 number, since 2×125607023361² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125607023351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1905646 + ... + 1970456.

It is an arithmetic number, because the mean of its divisors is an integer number (4094822160).

Almost surely, 2^125607023361 is an apocalyptic number.

It is an amenable number.

125607023361 is a deficient number, since it is larger than the sum of its proper divisors (70944440319).

125607023361 is a wasteful number, since it uses less digits than its factorization.

125607023361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65126 (or 65123 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 125607023361 its reverse (163320706521), we get a palindrome (288927729882).

The spelling of 125607023361 in words is "one hundred twenty-five billion, six hundred seven million, twenty-three thousand, three hundred sixty-one".